A novel efficient model for the power flow analysis of power systems

The overall system status calculated by power flow analysis is the most basic information used for all decisions taken by power system operators and planners. While conventional AC power flow solutions are computationally tractable, approximate DC models are employed in many applications, such as optimal power flow studies and unit commitment problems, mainly due to the linear nature of DC models. These models do not provide any information on the reactive power and voltage magnitude quantities and occasionally inaccurate results of the active power values. This paper presents an efficient power flow approach compromising both the conflicting aspects of speed and accuracy. The proposed model adopts bus voltage magnitudes and phase angles as state variables. Given the nonlinear nature of transmission system losses, an iterative method for solving the problem is proposed. Simulation results reveal that the proposed method outperforms conventional methods from an execution time viewpoint, while preserving acceptable accuracy. Different system conditions are also investigated to reveal the robustness and reliability of the proposed model.

A novel efficient model for the power flow analysis of power systems

The overall system status calculated by power flow analysis is the most basic information used for all decisions taken by power system operators and planners. While conventional AC power flow solutions are computationally tractable, approximate DC models are employed in many applications, such as optimal power flow studies and unit commitment problems, mainly due to the linear nature of DC models. These models do not provide any information on the reactive power and voltage magnitude quantities and occasionally inaccurate results of the active power values. This paper presents an efficient power flow approach compromising both the conflicting aspects of speed and accuracy. The proposed model adopts bus voltage magnitudes and phase angles as state variables. Given the nonlinear nature of transmission system losses, an iterative method for solving the problem is proposed. Simulation results reveal that the proposed method outperforms conventional methods from an execution time viewpoint, while preserving acceptable accuracy. Different system conditions are also investigated to reveal the robustness and reliability of the proposed model.

___

  • H. Kim, N. Samann, D. Shin, B. Ko, G. Jang, J. Cha, “A new concept of power flow analysis”, Journal of Electrical Engineering & Technology, Vol. 2, pp. 312–319, 2007.
  • P.J. Lagace, M.H. Vuong, I. Kamwa, “Improving power flow convergence by Newton Raphson with a Levenberg- Marquardt method”, IEEE Power Engineering Society General Meeting, pp. 1–6, 2008.
  • N.D. Duc, H.B. Gooi, “Using quadratic programming for power flow calculations”, International Power Electronics Conference General Meeting, pp. 1106–1110, 2010.
  • Y. Yude, Q. Zhijun, “Vectorial power flow calculation based on nonlinear programming”, IEEE Power Engineering Society General Meeting, pp. 1–6, 2008.
  • R. Bo, F. Li, “Vectorial power flow calculation based on nonlinear programming”, IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century, pp. 1–6, 2008.
  • P.R. Bijwe, B. Abhijith, G.K.V. Raju, “Robust three phase fast decoupled power flow”, IEEE/PES Power Systems Conference Exposition, pp. 1–5, 2009.
  • P. Acharjee, S.K. Goswami, “Chaotic particle swarm optimization based reliable algorithm to overcome the limita- tions of conventional power flow methods”, IEEE/PES Power Systems Conference Exposition, pp. 1–7, 2009.
  • R. Rarick, D. Simon, F.E. Villaseca, B. Vyakaranam, “Biogeography-based optimization and the solution of the power flow problem”, IEEE International Conference on Systems, Man, and Cybernetics, pp. 1003–1008, 2009.
  • Y. Yao, L. Liu, Y. Wang, H. Zhao, “An improved voltage start for Newton power flow in rectangular form”, International Conference on Power Electronics and Intelligent Transportation System, pp. 190–193, 2009.
  • Y. Yao, J. Shan, D. Wang, L. Liu, “An improved Newton power flow in rectangular form for systems with small impedance branches”, International Conference on Power Electronics and Intelligent Transportation Systems, pp. 10–14, 2009.
  • Z. Xu, Q. Jia, L. Liu, “The approximate expression of power flow Jacobian matrix and analysis”, International Conference on Sustainable Power Generation and Supply, pp. 1–4, 2009.
  • W. Li, X. Han, B. Zhang, “A comparison of power flow by different ordering schemes”, International Conference on Electric Utility Deregulation and Restructuring and Power Technologies, pp. 742–745, 2011.
  • Y. Yao, Y. Tan, M. Li, D. Wang, F. Zhang, “Study on methods for solving the divergence of power flow with small impedance branches”, International Conference on Sustainable Power Generation and Supply, pp. 1–7, 2009.
  • F. Milano, “Continuous Newton’s method for power flow analysis”, IEEE Transactions on Power Systems, Vol. 24, pp. 50–57, 2009.
  • J. Byun, A. Ravindran, A. Mukherjee, B. Joshi, D. Chassin, “Accelerating the Gauss-Seidel power flow solver on a high performance reconfigurable computer”, IEEE Symposium on Field Programmable Custom Computing Machines, pp. 227–230, 2009.
  • H. Da˘g, E.F. Yetkin, “A spectral divide and conquer method based pre-conditioner design for power flow analysis”, International Conference on Power System Technology, pp. 1–6, 2010.
  • L. Ao, B. Cheng, F. Li, “Research of power flow parallel computing based on MPI and P-Q decomposition method”, International Conference on Electrical and Control Engineering, pp. 2925–2928, 2010.
  • D.P. Chassin, P.R. Armstrong, D.G. Chavarr´ıa-Miranda, R.T. Guttromson, “Gauss-Seidel accelerated: implement- ing flow solvers on field programmable gate arrays”, IEEE Power Engineering Society General Meeting, 2006.
  • N. Garcia, “Parallel power flow solutions using a bi-conjugate gradient algorithm and a Newton method: a GPU- based approach”, IEEE Power Engineering Society General Meeting, pp. 1–4, 2010.
  • J. Singh, I. Aruni, “Accelerating power flow studies on graphics processing unit”, Annual IEEE Indian Conference, pp. 1–5, 2010.
  • Y. Zhang, H. Chiang, “Fast Newton-FGMRES solver for large-scale power flow study”, IEEE Transactions on Power Systems, Vol. 25, pp. 769–776, 2010.
  • Y. Chen, C. Shen, “A Jacobian-free Newton-GMRES(m) method with adaptive pre-conditioner and its application for power flow calculations”, IEEE Transactions on Power Systems, Vol. 21, pp. 1096–1103, 2006.
  • R. Idema, D.J.P. Lahaye, C. Vuik, L.V.D. Sluis, “Scalable Newton-Krylov solver for large power flow problems” IEEE Transactions on Power Systems, Vol. 27, pp. 390–396, 2012.
  • R. Jegatheesan, N.M. Nor, M.F. Romlie, “Newton-Raphson power flow solution employing systematically con- structed Jacobian matrix”, IEEE International Conference on Power and Energy, pp. 180–185, 2008.
  • R.S. Maciel, A.P. Feltrin, E. Righeto, “Substitution-Newton-Raphson method for the solution of electric network equations”, IEEE Transmission and Distribution Conference and Exposition: Latin America, pp. 1–6, 2006.
  • S. Lu, N. Zhou, N.P. Kumar, N. Samaan, B.B. Chakrabati, “Improved DC power flow method based on empirical knowledge of the system”, IEEE Transmission and Distribution Conference and Exposition, pp. 1–6, 2010.
  • P. Yan, A. Sekar, “Study of linear models in steady state load flow analysis of power systems”, IEEE Power Engineering Society Winter Meeting, Vol. 1, pp. 666–671, 2002.
Turkish Journal of Electrical Engineering and Computer Science-Cover
  • ISSN: 1300-0632
  • Yayın Aralığı: Yılda 6 Sayı
  • Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler

Enhancing sliding mode control with proportional feedback and feedforward: an experimental investigation on speed sensorless control of PM DC motor drives

Mehmet DAL

A new systematic and flexible method for developing hierarchical decision-making models

Ulaş BELDEK, Mehmet Kemal LEBLEBİCİOĞLU

Design of a novel USB crypto bridge device

Orhan ŞENGÜL

Control of oxygen excess ratio in a PEM fuel cell system using high-order sliding-mode controller and observer

Seyed Mehdi RAKHTALA, Abolfazl Ranjbar NOEI, Reza GHADERI, Elio USAI

Designing and implementing a reliable thermal monitoring system based on the 1-wire protocol on FPGA for a LEO satellite

Reza Omidi GOSHEBLAGH, Karim MOHAMMADI

A new cascaded multilevel inverter with series and parallel connection ability of DC voltage sources

Ebrahim BABAEI, Saeed Sheermohammadzadeh GOWGANI, Mehran SABAHI

A hierarchic approach based on swarm intelligence to solve the traveling salesman problem

Mesut GÜNDÜZ, Mustafa Servet KIRAN, Eren ÖZCEYLAN

Adaptive network-based inference system models on multiband patch antenna design

Erdem DEMİRCİOĞLU, Murat Hüsnü SAZLI, Orhan ŞENGÜL, Şehabeddin Taha ˙IMECİ, Hakkı Alparslan ILGIN

Simulation of locating buried objects via fringe pattern-based measurements in an optical fiber sensor-integrated continuous-wave ground-penetrating radar system

Asaf Behzat ŞAHİN, Hatice Gonca BULUR

MRAS-based sensorless speed backstepping control for induction machine, using a flux sliding mode observer

Mohamed MOUTCHOU, Ahmed ABBOU, Hassan MAHMOUDI